Finding the Fourth Proportional to 414,105,824,994.06, 621,220,846,088 and 145,447,452,715.64
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Solution
The fourth proportional to 414,105,824,994.06, 621,220,846,088 and 145,447,452,715.64 is: 218,192,993,635.51
Step by Step Solution
- Step 1: Write the proportion equation
414,105,824,994.06 : 621,220,846,088 = 145,447,452,715.64 : x - Step 2: Convert to fraction form
414,105,824,994.06/621,220,846,088 = 145,447,452,715.64/x - Step 3: Cross multiply
414,105,824,994.06x = 621,220,846,088 × 145,447,452,715.64 - Step 4: Simplify right side
414,105,824,994.06x = 90,354,989,637,354,265,772,032 - Step 5: Solve for x
x = 90,354,989,637,354,265,772,032/414,105,824,994.06 - Step 6: Final answer
x = 218,192,993,635.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.